n the figure, two 7.10 kg blocks are connected by a massless string over a pulley of radius 2.00 cm and rotational inertia 7.40 x 10 kg m2. The string does not slip on the pulley, it is not known whether there is friction between the table and the sliding block, the pulley's axis is rictionless. When this system is released from rest, the pulley turns through 0.700 rad in 143 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T, and (d) string tension T,? Assume free-fall acceleration to be equal to 9.81 m/s?. (a) Number Units (b) Number Units (c) Number Units

The spin cycles of a washing machine have two angular speeds, 420 rev/minrev/min and 630 rev/minrev/min . The internal diameter of the drum is 0.610 mm . Part A What is the ratio of the maximum radial force on the laundry for the higher angular speed to that for the lower speed? Part B What is the ratio of the maximum tangential speed of the laundry for the higher angular speed to that for the lower speed? Part C Find the laundry's maximum tangential speed . Express your answer in meters per second. Part D Find the laundry's maximum radial acceleration, in terms of gg . Express your answer as a multiple of gravitational acceleration gg.

The Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. The pulley can be approximated by a uniform disk with mass = 4.33 kg and radius r, = 0.250 m. The hanging mp masses are mī = 17.7 kg and mR = 10.3 kg. Calculate the magnitude of the masses' acceleration a and the tension in the left and right ends of the rope, T and TR, respectively. m/s? a = N TL = mR TR =

Problem 7 : A sphere of radius r0 = 24.0 cm and mass m = 1.20kg starts from rest and rolls without slipping down a 33.0∘ incline that is 15.0 m long. Part A Calculate its translational speed and rotational speed when it reaches the bottom. Does the answers depend on mass or radius of the ball? Part C What is the ratio of translational to rotational kinetic energy at the bottom?(Ktr/Krot=?) Does the answer depend on mass or radius of the ball?

A weight of mass 1.60 kg is suspended by a string wrapped around a pulley wheel, which consists of a solid disk of mass 4.87 kg and radius 0.540 m. The system is released from rest. Over what vertical distance does the hanging mass move in 3.0 seconds? Ignore friction and drag forces, and assume that the string does not slip. Image size: S M L Max m MR

A m = 2kg ring has a radius of r = 0.5m. The moment of inertia of a ring is I = m r². The ring has an initial speed of v= 1 m/s on the horizontal surface. It rolls, without slipping, along the surface and up the ramp, where it stops when it reaches a height h. a) What is the angular velocity of the ring when it is on the horizontal surface? v=1m/s b) While the ring is on the horizontal surface, what is the speed of a point at the top of the ring? c) Use Conservation of Energy to find the maximum height of the ring, h. Show all your work. Solve the problem using variables. Only substitute numbers in the very last step. d) How would the maximum height change in each of the following situations? Put an X in the correct answer for each statement. The ring has a larger mass m (same r and v) The ring is replaced with a solid disc (same m, r, and v) There is no friction and the ring slides instead of rolling (same m, r, and v) Higher v=0 Lower Same height h

A hollow ball of mass m = 2.0 kg and radius r rolls without slipping along a loop-the-loop track, with a height of h and radius R. The ball is released from rest somewhere on the straight section of the track. a. From what minimum height h above the bottom of the track must the ball be released in order that it not leave the track at the top of the loop? (height of loop is 2R) The Radius is 10.0 m b. What is acting as a radial force at the top of the loop? (gravity, Tension ???) I hollow ball = (2/3) mr² gninub 21 noitu boxil bns brossz sri gnitub suprot sit zomit auol (C doum asmuomo (3 2R di grois un 12 What was the potential energy at the top of mass m? Houm

A thin hoop of radius 2.00 cm and mass 0.0300 kg rolls down a frictionless ramp of length 4.00 m that makes an angle of 10.0° with the horizontal. The hoop starts from rest from the top of the ramp.a. Find the angular speed of the hoop at the bottom of the ramp.b. After the hoop rolls off the ramp, it is traveling along a horizontal surface with friction that causes a frictional torque of magnitude 0.400 N·m on the hoop. How much time will it take for the hoop to come to rest?

The Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. The pulley can be approximated by a uniform disk with mass m, = 6.13 kg and 17.9 kg radius r, = 0.150 m. The hanging masses are m and mg = 12.9 kg. Calculate the magnitude of the masses' acceleration a and the tension in the left and right ends of the rope, Ti and TR, respectively. m/s? a = N Ti = m. MR TR